`A= 1/6 - 1/35 - 1/63 - 1/99 - 1/143 - 1/195`
`= 1/6 - 1/2 . (2/35 + 2/63 + 2/99 + 2/143 + 2/195)`
`= 1/6 - 1/2 . (2/(5.7) + 2/(7.9) + 2/(9.11) + 2/(11.13) + 2/(13.15))`
`= 1/6 - 1/2 . (1/5-1/7 +1/7-1/9 +1/9-1/11 +1/11 - 1/13+1/13-1/15)`
`= 1/6 - 1/2 . (1/5 - 1/15)`
`= 1/6 - 1/2 . 2/15`
`= 1/6 - 1/15`
`= 1/10`